Mixing of Solids. Chi Square as a Criterion

Gayle, John; Lacey, Oliver L.; Gary, James H.

doi:10.1021/ie50585a036

Cited by 14 publications

(3 citation statements)

References 1 publication

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“…The former methods are applied, for example, information entropy and Lacey method, based on coordination number fraction , and Lacey method based on coordination number fraction . The latter methods are also applied, for example, information entropy based on local concentration, ,,− Lacey method based on local concentration, − and SMI method . In the specific calculation of this paper, the latter unit selection method is used.…”

Section: Mixing Indexmentioning

confidence: 99%

“…In order to evaluate the mixing and segregation degree of the particle system, researchers proposed a variety of particle mixing indices, including the average height method, the nearest-neighbor method, the neighbor distance method, the Lacey index, − the information entropy, − the coordination number method, , the perpendicular soil moisture index method, the Syria method, and the nonsampling mixing index (SMI) method …”

Section: Introductionmentioning

confidence: 99%

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Discussion on the Construction Principle of New Mixing Indices and Application for Cubic Particle Mixing by SIPHPM

Zhang

Gui

Yang

et al. 2020

Ind. Eng. Chem. Res.

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This work discusses and proposes the construction principles of particle concentration-based mixing indices for a general particle system. The principles proposed herein follow the criteria and advantages of scalability, flexibility, reliability, applicability, and a wide range of applications. Following the current principles, a series of new mixing indices are proposed. The new mixing indices for a simple particle system and for the axial mixing cases of cubic particles in the tilted tumbler are calculated and verified by comparing them with classic mixing indices. As a demonstrative application, the mixing phenomenon of particles in a tilted tumbler are simulation by SIPHPM simulation and evaluated by the new mixing indices.

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Section: Mixing Indexmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Discussion on the Construction Principle of New Mixing Indices and Application for Cubic Particle Mixing by SIPHPM

Zhang

Gui

Yang

et al. 2020

Ind. Eng. Chem. Res.

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“…Gayle J.B. et al (1958) proposed a mathematical method to solve the mixing problem based on the chi square value. Their method can not only be used for a binary mixture system but also to for systems with any finite number of components.…”

Section: Introduction To Some Mixing Indicesmentioning

confidence: 99%

A Study of the Mixing Index in Solid Particles

Chou¹,

Song²,

Hsiau³

2017

KONA

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This study focuses on investigating the mixing state by different mixing indices for different pre-organized particles. We also try to propose a new mixing index and discuss the advantages and disadvantages of different cases. The results show that the Avg. distance mixing index indicates the degree of mixing more accurately than other mixing indices for a case of complete segregation. In some cases the degree of mixing would be higher with the Lacey mixing index compared with the other indices, with the size of the cells greatly affecting this value. In other words, the use of any single specific mixing index on its own cannot accurately reflect the correct degree of mixing for all different kinds of systems. The only difference between mixing indices is which one can provide more accurate and stable results.

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